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Finding the Third Proportional to 602,544 and 856,611

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Solution

The third proportional to 602,544 and 856,611 is: 1,217,807.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,544 : 856,611 = 856,611 : x
  2. Step 2: Convert to fraction form
    602,544/856,611 = 856,611/x
  3. Step 3: Cross multiply
    602,544x = 856,611 × 856,611
  4. Step 4: Simplify right side
    602,544x = 733,782,405,321
  5. Step 5: Solve for x
    x = 733,782,405,321/602,544
  6. Step 6: Final answer
    x = 1,217,807.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.